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Showing content from https://docs.pytorch.org/docs/stable/generated/torch.randn.html below:

torch.randn — PyTorch 2.8 documentation

Returns a tensor filled with random numbers from a normal distribution with mean 0 and variance 1 (also called the standard normal distribution).

out i ∼ N ( 0 , 1 ) \text{out}_{i} \sim \mathcal{N}(0, 1) outiN(0,1)

For complex dtypes, the tensor is i.i.d. sampled from a complex normal distribution with zero mean and unit variance as

out i ∼ C N ( 0 , 1 ) \text{out}_{i} \sim \mathcal{CN}(0, 1) outiCN(0,1)

This is equivalent to separately sampling the real ( Re ⁡ ) (\operatorname{Re}) (Re) and imaginary ( Im ⁡ ) (\operatorname{Im}) (Im) part of out i \text{out}_i outi as

Re ⁡ ( out i ) ∼ N ( 0 , 1 2 ) , Im ⁡ ( out i ) ∼ N ( 0 , 1 2 ) \operatorname{Re}(\text{out}_{i}) \sim \mathcal{N}(0, \frac{1}{2}),\quad \operatorname{Im}(\text{out}_{i}) \sim \mathcal{N}(0, \frac{1}{2}) Re(outi)N(0,21),Im(outi)N(0,21)

The shape of the tensor is defined by the variable argument size.

Parameters

size (int...) – a sequence of integers defining the shape of the output tensor. Can be a variable number of arguments or a collection like a list or tuple.

Keyword Arguments

Example:

>>> torch.randn(4)
tensor([-2.1436,  0.9966,  2.3426, -0.6366])
>>> torch.randn(2, 3)
tensor([[ 1.5954,  2.8929, -1.0923],
        [ 1.1719, -0.4709, -0.1996]])

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